2. Which of the following functions translates the graph of the parent function f(x) = x 2 horizontally left 8 units? Circle one. A h(x) = x² + 8 C (x) = x² – 8 B h(x) = (x – 8)2 D h(x) = (x + 8)² %3D

Q: The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A: Given: It is given that the weekly profit P for a widget producer is a function of the number n of…

Q: The average cost per set for the production of television sets is given by 810+10x+0.1x² C(x)= where…

A:

Q: 8. Sketch the graph of the combined function of y = (g - f)(x) for the following functions of f(x)…

A: From given fig.we can write g(x) = 1- |x|      and    f(x) = x^2-4 .

Q: A bucket has a leak that started 6 hours ago. At time 0, when the bucket just emptied, a tap was…

A: Which option represents  the amount of water in the second bucket.

Q: A low-projection scenano for the population of Smaltown, USA for 1995 and 2150 is given by the…

A: Given the year where x is the year after and is the population in millions.To Find:a) Input and…

Q: Which function below matches this graph?

A: WE need to analyze the given graph. We know that sec(x) graph is a U shaded graph . sec(x) graph…

Q: Select the graph of the function y = [2(x– 1)]²+1. Compare the graph of this function with the graph…

A: We need to compare the two graphs.

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: A devastating freeze in California's Central Valley in Sanugry fHhe state's out approximately 75% of…

A: The given question should be converted into a linear equation using the given conditions.  Then we…

Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: х + 40, where 4 b. The temperature (in degrees Fahrenheit) can be approximated by the function c(x)…

A: For a function, y=f(x) , x is the independent variable and y is the dependent variable . Consider…

Q: Write a formula for a function g whose graph is similar to f(x) but shifted to the left 9 units and…

A:

Q: Starting with the graph of f(x) = 6², write the equation of the graph that results from a. shifting…

A: Given:   f(x) = 6x

Q: a. Graph f(x) =11e-0.3x for - 5sxs 15. b. Find f(10) and f(- 10). C. Does this function represent…

A:

Q: 1. Consider the functions f (x) = ÷x – 1 and g(x) = x² – 4. (a) Graph each function by filling in…

A: The two functions are given f(x)=12x-1 and g(x)=x2-4.

Q: The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.